How do you solve log_2c>8?

1 Answer
Dec 29, 2016

c>256

Explanation:

The domain of c in log_2c is c>0

and then the derivative of log_2c, which is 1/(cln2), too is positive.

Hence log_2c is a monotonically increasing function of c.

Hence, as log_2c>8, c>2^8

or c>256
graph{(y-lnx/ln2)(y-8)=0 [-50, 300, -2, 10]}